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Finding the Fourth Proportional to 136,043.80, 204,065.44 and 36,204

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Solution

The fourth proportional to 136,043.80, 204,065.44 and 36,204 is: 54,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,043.80 : 204,065.44 = 36,204 : x
  2. Step 2: Convert to fraction form
    136,043.80/204,065.44 = 36,204/x
  3. Step 3: Cross multiply
    136,043.80x = 204,065.44 × 36,204
  4. Step 4: Simplify right side
    136,043.80x = 7,387,985,189.76
  5. Step 5: Solve for x
    x = 7,387,985,189.76/136,043.80
  6. Step 6: Final answer
    x = 54,305.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.